{"id":"https://openalex.org/W7225449732","doi":"https://doi.org/10.58578/mjaei.v3i3.11136","title":"Coefficient Estimates and Fekete\u2013Szeg\u00f6 Inequalities for a Class of Pseudo-Starlike P Valent Functions Associated with Chebyshev Polynomials","display_name":"Coefficient Estimates and Fekete\u2013Szeg\u00f6 Inequalities for a Class of Pseudo-Starlike P Valent Functions Associated with Chebyshev Polynomials","publication_year":2026,"publication_date":"2026-11-07","ids":{"openalex":"https://openalex.org/W7225449732","doi":"https://doi.org/10.58578/mjaei.v3i3.11136"},"language":"en","primary_location":{"id":"doi:10.58578/mjaei.v3i3.11136","doi":"https://doi.org/10.58578/mjaei.v3i3.11136","is_oa":true,"landing_page_url":"https://doi.org/10.58578/mjaei.v3i3.11136","pdf_url":"https://ejournal.yasin-alsys.org/MJAEI/article/download/11136/9176/11136.pdf","source":{"id":"https://openalex.org/S5407046500","display_name":"Mikailalsys Journal of Advanced Engineering International","issn_l":"3046-8914","issn":["3046-8914","3046-9694"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mikailalsys Journal of Advanced Engineering International","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ejournal.yasin-alsys.org/MJAEI/article/download/11136/9176/11136.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040247509","display_name":"Ismaila Omeiza Ibrahim","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ismaila Omeiza Ibrahim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5161181034","display_name":"A A Lawal","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I169864488","display_name":"Abubakar Tafawa Balewa University","ror":"https://ror.org/019vfke14","country_code":"NG","type":"education","lineage":["https://openalex.org/I169864488"]},{"id":"https://openalex.org/I64351976","display_name":"University of Maiduguri","ror":"https://ror.org/016na8197","country_code":"NG","type":"education","lineage":["https://openalex.org/I64351976"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"A A Lawal","raw_affiliation_strings":["Abubakar Tafawa Balewa University , Bauchi , Nigeria","University of Maiduguri , Maiduguri , Nigeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Abubakar Tafawa Balewa University , Bauchi , Nigeria","institution_ids":["https://openalex.org/I169864488"]},{"raw_affiliation_string":"University of Maiduguri , Maiduguri , Nigeria","institution_ids":["https://openalex.org/I64351976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5161161994","display_name":"Zuwaira B","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zuwaira B","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040247509"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":"3","first_page":"415","last_page":"424"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.9649999737739563},{"id":"https://openalex.org/keywords/subordination","display_name":"subordination","score":0.8769999742507935},{"id":"https://openalex.org/keywords/taylor-coefficients","display_name":"Taylor coefficients","score":0.5849999785423279},{"id":"https://openalex.org/keywords/fekete-szego-inequality","display_name":"Fekete-Szeg\u00f6 inequality","score":0.9629999995231628},{"id":"https://openalex.org/keywords/unit-disk","display_name":"unit disk","score":0.8730000257492065},{"id":"https://openalex.org/keywords/geometric-function-theory","display_name":"geometric function theory","score":0.8799999952316284}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8126999735832214},{"id":"https://openalex.org/C2777406531","wikidata":"https://www.wikidata.org/wiki/Q2031017","display_name":"Subordination (linguistics)","level":2,"score":0.738099992275238},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.635699987411499},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5993000268936157},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.5012000203132629},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.49970000982284546},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.498199999332428},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.436599999666214},{"id":"https://openalex.org/C71564387","wikidata":"https://www.wikidata.org/wiki/Q249514","display_name":"Chebyshev's inequality","level":5,"score":0.43230000138282776},{"id":"https://openalex.org/C2776194381","wikidata":"https://www.wikidata.org/wiki/Q3965271","display_name":"Subclass","level":3,"score":0.400299996137619},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3968999981880188},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.38420000672340393},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.3727000057697296},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36320000886917114},{"id":"https://openalex.org/C201421709","wikidata":"https://www.wikidata.org/wiki/Q6934653","display_name":"Multidimensional Chebyshev's inequality","level":5,"score":0.3573000133037567},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3531000018119812},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C171326582","wikidata":"https://www.wikidata.org/wiki/Q1052508","display_name":"Chebyshev nodes","level":3,"score":0.33390000462532043},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3303000032901764},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.3158999979496002},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.29159998893737793},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.28679999709129333},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C8170772","wikidata":"https://www.wikidata.org/wiki/Q842436","display_name":"Markov's inequality","level":5,"score":0.25690001249313354}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.58578/mjaei.v3i3.11136","doi":"https://doi.org/10.58578/mjaei.v3i3.11136","is_oa":true,"landing_page_url":"https://doi.org/10.58578/mjaei.v3i3.11136","pdf_url":"https://ejournal.yasin-alsys.org/MJAEI/article/download/11136/9176/11136.pdf","source":{"id":"https://openalex.org/S5407046500","display_name":"Mikailalsys Journal of Advanced Engineering International","issn_l":"3046-8914","issn":["3046-8914","3046-9694"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mikailalsys Journal of Advanced Engineering International","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.58578/mjaei.v3i3.11136","doi":"https://doi.org/10.58578/mjaei.v3i3.11136","is_oa":true,"landing_page_url":"https://doi.org/10.58578/mjaei.v3i3.11136","pdf_url":"https://ejournal.yasin-alsys.org/MJAEI/article/download/11136/9176/11136.pdf","source":{"id":"https://openalex.org/S5407046500","display_name":"Mikailalsys Journal of Advanced Engineering International","issn_l":"3046-8914","issn":["3046-8914","3046-9694"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mikailalsys Journal of Advanced Engineering International","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7225449732.pdf","grobid_xml":"https://content.openalex.org/works/W7225449732.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W583533391","https://openalex.org/W2121315687","https://openalex.org/W2134197866","https://openalex.org/W2156933944","https://openalex.org/W2950487778","https://openalex.org/W4233886660","https://openalex.org/W4401250868","https://openalex.org/W4405323371"],"related_works":["https://openalex.org/W4390461192","https://openalex.org/W2761672173","https://openalex.org/W198008373","https://openalex.org/W3009204935","https://openalex.org/W2939793310","https://openalex.org/W2027626740","https://openalex.org/W994534611","https://openalex.org/W2769610160","https://openalex.org/W4247044487","https://openalex.org/W3128558548"],"abstract_inverted_index":{"This":[0],"study":[1],"introduces":[2],"and":[3,37,53,65],"investigates":[4],"a":[5,42],"new":[6],"subclass":[7],"of":[8,56],"p-valent":[9],"analytic":[10],"functions":[11],"in":[12],"the":[13,32,46,57,69],"open":[14],"unit":[15],"disk":[16],"????,":[17],"combining":[18],"\u03bb-pseudo-starlikeness":[19],"with":[20],"subordination":[21],"involving":[22],"Chebyshev":[23],"polynomials.":[24],"The":[25],"analysis":[26],"derives":[27],"sharp":[28],"upper":[29],"bounds":[30],"for":[31,45,68],"initial":[33],"Taylor\u2013Maclaurin":[34],"coefficients":[35],"|a\u209a\u208a\u2081|":[36],"|a\u209a\u208a\u2082|.":[38],"It":[39],"also":[40],"establishes":[41],"Fekete\u2013Szeg\u00f6":[43],"inequality":[44],"functional":[47,66],"|a\u209a\u208a\u2082":[48],"\u2212":[49],"\u03bca\u209a\u208a\u2081\u00b2|.":[50],"Several":[51],"consequences":[52],"special":[54],"cases":[55],"main":[58],"results":[59],"are":[60],"discussed,":[61],"providing":[62],"further":[63],"coefficient":[64],"estimates":[67],"proposed":[70],"class.":[71]},"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-11-08T00:00:00"}